// Preambel print "==TRIANGULATION" cat "=BEGINS=="; print "% Triangulation\n11_109\ngeometric_solution 15.94234856\noriented_manifold\nCS_known -0.0000000000000001\n\n1 0\n torus 0.000000000000 0.000000000000\n\n17\n 1 2 2 3 \n 0132 0132 2031 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 1 0 -1 0 0 0 0 -12 1 0 11 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.398430917662 0.467294376305\n\n 0 3 5 4 \n 0132 2103 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 12 0 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.617588475970 1.041382177439\n\n 3 0 6 0 \n 3012 0132 0132 1302\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -1 1 0 1 0 -1 0 0 0 0 0 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 1.036742282839 0.805333672678\n\n 6 1 0 2 \n 1023 2103 0132 1230\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 1 -1 0 0 0 0 0 0 0 0 11 0 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.426272236678 1.669846940518\n\n 7 6 1 8 \n 0132 2031 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -1 0 1 0 0 0 0 0 -11 0 11 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.017550628450 0.682695225525\n\n 6 9 10 1 \n 2031 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 -1 0 1 0 0 -12 0 12 1 0 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.017550628450 0.682695225525\n\n 4 3 5 2 \n 1302 1023 1302 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 1 -1 0 0 -1 1 1 0 0 -1 11 -11 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.578694527199 0.710408350712\n\n 4 9 12 11 \n 0132 1023 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.855829918971 1.243310505560\n\n 13 9 4 10 \n 0132 0213 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 -1 1 0 0 0 0 0 1 0 -1 -1 12 -11 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.549001659280 0.800140773164\n\n 7 5 8 14 \n 1023 0132 0213 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 1 0 -1 0 0 0 0 0 0 12 -12 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.436546548448 1.089055167063\n\n 11 15 8 5 \n 0132 0132 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 1 -1 0 1 0 0 -1 0 -1 0 1 0 -1 1 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.681585730364 1.692971881327\n\n 10 12 7 16 \n 0132 0213 0132 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 -1 1 -1 0 0 1 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.387905460874 0.501444063930\n\n 13 14 11 7 \n 3120 1023 0213 0132\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.693961461227 0.449647691507\n\n 8 14 16 12 \n 0132 0321 2103 3120\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.501864695075 0.740642773193\n\n 12 15 9 13 \n 1023 0213 0132 0321\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.538802108286 0.507142473791\n\n 16 10 14 16 \n 3012 0132 0213 2031\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 -1 0 1 -1 0 1 0 -1 1 0 0 -1 1 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.317676161790 0.651564221108\n\n 13 15 11 15 \n 2103 1302 0132 1230\n 0 0 0 0 \n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0 0 -1 1 0 0 -1 1 0 -1 0 1 0 0 0 0\n 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n 0.766568355611 0.732010939058\n\n"; print "==TRIANGULATION" cat "=ENDS=="; print "PY=EVAL=SECTION" cat "=BEGINS=HERE"; print "{'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_14'], 'c_1001_14' : d['c_1001_14'], 'c_1001_16' : d['c_0110_15'], 'c_1001_11' : d['c_0101_14'], 'c_1001_10' : d['c_0011_16'], 'c_1001_13' : d['c_0011_16'], 'c_1001_12' : d['c_0101_14'], 'c_1001_5' : d['c_1001_14'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0011_13']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_3'], 'c_1010_13' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0011_13']), 'c_1010_11' : d['c_0110_15'], 'c_1010_10' : d['c_1001_14'], 'c_1010_16' : d['c_0011_12'], 'c_1010_15' : d['c_0011_16'], 'c_1010_14' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : d['c_0101_10'], 'c_0101_16' : d['c_0101_10'], 'c_0101_15' : d['c_0011_12'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : d['1'], 's_2_15' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_15' : negation(d['c_0011_10']), 'c_0011_14' : d['c_0011_12'], 'c_0011_16' : d['c_0011_16'], 'c_1100_9' : d['c_0011_16'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0110_15'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 'c_1100_15' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_16' : d['c_0110_15'], 'c_1100_11' : d['c_0110_15'], 'c_1100_10' : d['c_1100_1'], 'c_1100_13' : d['c_0011_10'], 'c_1100_12' : d['c_0110_15'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0101_14'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1100_14' : d['c_0011_16'], 's_0_14' : d['1'], 'c_1010_9' : d['c_1001_14'], 's_3_14' : d['1'], 'c_1100_8' : d['c_1100_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_13']), 's_3_10' : d['1'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : d['c_0101_10'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 'c_0110_15' : d['c_0110_15'], 'c_0110_14' : negation(d['c_0011_13']), 'c_0110_16' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0011_3'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0011_0']), 's_0_8' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0011_16'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_13']), 'c_0101_8' : d['c_0101_7'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_14'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})}"; print "PY=EVAL=SECTION=ENDS=HERE"; cputime := Cputime(); // Computation // Setting up the Polynomial ring and ideal R := PolynomialRing(RationalField(), 18); I := ideal; // Value indicating failure P := -1; // Computing the primary decomposition P,Q:=PrimaryDecomposition(I); if Type(P) eq RngIntElt then // Some error occured print "PRIMARY=DECOMPOSITION" cat "=FAILED"; else // Success print "PRIMARY=DECOMPOSITION" cat "=BEGINS=HERE"; P; print "PRIMARY=DECOMPOSITION" cat "=ENDS=HERE"; end if; print "CPUTIME :", Cputime(cputime);